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3198328 = 237241199
BaseRepresentation
bin1100001100110101111000
320000111021121
430030311320
51304321303
6152315024
736120400
oct14146570
96014247
103198328
111894a51
1210a2a74
1387ca03
145d3800
154329bd
hex30cd78

3198328 has 48 divisors (see below), whose sum is σ = 7182000. Its totient is φ = 1330560.

The previous prime is 3198319. The next prime is 3198341. The reversal of 3198328 is 8238913.

3198328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 3198293 and 3198302.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15973 + ... + 16171.

It is an arithmetic number, because the mean of its divisors is an integer number (149625).

Almost surely, 23198328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3198328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3591000).

3198328 is an abundant number, since it is smaller than the sum of its proper divisors (3983672).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3198328 is a wasteful number, since it uses less digits than its factorization.

3198328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 249 counting only the distinct ones).

The product of its digits is 10368, while the sum is 34.

The square root of 3198328 is about 1788.3869827305. The cubic root of 3198328 is about 147.3355900548.

The spelling of 3198328 in words is "three million, one hundred ninety-eight thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 14 28 41 49 56 82 98 164 196 199 287 328 392 398 574 796 1148 1393 1592 2009 2296 2786 4018 5572 8036 8159 9751 11144 16072 16318 19502 32636 39004 57113 65272 78008 114226 228452 399791 456904 799582 1599164 3198328